Stereotactic dose computation and plan optimization using the convolution theorem: I. Dose computation

X. Wu, J. Y. Ting, A. M. Markoe, H. J. Landy, J. A. Fiedler, J. Russell

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


With Leksell Gamma Knife stereotactic radiosurgery, the dose distribution delivered by a specific helmet can be assumed to remain as a fixed-dose distribution when the shot is moved to different locations within the predefined dose calculation matrix. The convolution theorem may be implemented to take advantage of this fact for fast dose computation and plan construction. Using this technique, the shot spatial arrangement is formulated as a convolution kernel, which is theoretically a three-dimensional multi-δ function. The dose distribution is computed by the convolution of this single-shot dose distribution with the shot convolution kernel. To determine the shot arrangement, an ideal dose distribution is generated based upon the target structure. Deconvolution is then applied to find the convolution kernel which best fits the proposed ideal dose distribution. The primary task of this presentation is to focus on and describe in detail the dose computation using the convolution theorem.

Original languageEnglish (US)
Pages (from-to)302-308
Number of pages7
JournalStereotactic and Functional Neurosurgery
Issue numberSUPPL. 1
StatePublished - Jan 1997


  • dose computation
  • Leksell Gamma Knife
  • stereotactic radiosurgery

ASJC Scopus subject areas

  • Clinical Neurology


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